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arXiv · 2007.15771

Deformed Quantum Mechanics and the Landau Problem

J. Gamboa·F. Méndez
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Abstract

A deformation of the Landau problem based on a modification of Fock algebra is considered. Systems with Hamiltonians f(H) where H is the Landau Hamiltonian in the lowest level are discussed. The case $f(H) = {\alpha} H + b H^2$ is studied and it is shown that in this particular example, parameters of the problem can be fixed by using the quadratic Zeeman effect data and the Breit- Rabi formula. The proposed approach allows to solve exactly Landau-like families of problems not previously discussed in the literature.

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J. Gamboa, F. Méndez. 2020-07-30. Deformed Quantum Mechanics and the Landau Problem. https://doi.org/10.1142/s0217732321501261

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